7,493,226

2 × 3 × 13 × 17 × 5651

Starting at 7,493,226, the Collatz iteration reaches 1 after 160 steps. The first transition is 3746613; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 13 × 17 × 5651

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 17,091,648

Proper Divisor Sum 9,598,422

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #7493159 ← → #7493237

Radix Representation

Decimal	7493226
Binary	11100100101011001101010 (23 bits)
Octal	0o34453152
Hexadecimal	0x72566A

Divisor Catalog (32)

1 2 3 6 13 17 26 34 39 51 78 102 221 442 663 1,326 5,651 11,302 16,953 33,906 73,463 96,067 146,926 192,134 220,389 288,201 440,778 576,402 1,248,871 2,497,742 3,746,613 7,493,226

Collatz Trajectory (160 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

7,493,226 3,746,613 11,239,840 5,619,920 2,809,960 1,404,980 702,490 351,245 1,053,736 526,868 263,434 131,717 395,152 197,576 98,788 49,394 24,697 74,092 37,046 18,523 55,570 27,785 83,356 41,678 20,839 62,518 31,259 93,778 46,889 140,668 70,334 35,167 105,502 52,751 158,254 79,127 237,382 118,691 356,074 178,037 534,112 267,056 133,528 66,764 33,382 16,691 50,074 25,037 75,112 37,556 18,778 9,389 28,168 14,084 7,042 3,521 10,564 5,282 2,641 7,924

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